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101081154006 = 232742338867
BaseRepresentation
bin101111000100011101…
…0000000000111010110
3100122220112000122201200
41132020322000013112
53124003233412011
6114234103533330
710205612430000
oct1361072000726
9318815018650
10101081154006
1139960749108
121770ba5a246
1396bb7c2341
144c6c895370
1529690eb856
hex1788e801d6

101081154006 has 60 divisors (see below), whose sum is σ = 255495601452. Its totient is φ = 28880317368.

The previous prime is 101081153989. The next prime is 101081154019. The reversal of 101081154006 is 600451180101.

101081154006 is a `hidden beast` number, since 1 + 0 + 108 + 11 + 540 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1126216 + ... + 1212651.

Almost surely, 2101081154006 is an apocalyptic number.

101081154006 is an abundant number, since it is smaller than the sum of its proper divisors (154414447446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101081154006 is an equidigital number, since it uses as much as digits as its factorization.

101081154006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338903 (or 2338879 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 101081154006 in words is "one hundred one billion, eighty-one million, one hundred fifty-four thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 2401 3087 4802 6174 7203 14406 21609 43218 2338867 4677734 7016601 14033202 16372069 21049803 32744138 42099606 49116207 98232414 114604483 147348621 229208966 294697242 343813449 687626898 802231381 1031440347 1604462762 2062880694 2406694143 4813388286 5615619667 7220082429 11231239334 14440164858 16846859001 33693718002 50540577003 101081154006